Inverse Thermoelastic Analysis of a Cylindrical Tribo-Couple

Abstract

Within the framework of the one-dimensional model for a tribo-couple consisting of two elastic cylinders accounting for the frictional heat generation on the interface due to the roughness of the contacting dissimilar materials, a problem on the identification of the unknown temperature on one of the limiting surfaces of either inner or outer cylindrical layers is formulated and reduced to an inverse thermoelasticity problem via the use of the circumferential strain given on the other surface. To solve the latter problem, a semi-analytical algorithm is suggested, and its stability with respect to the small errors in the input data is analyzed. The efficiency of the proposed solution algorithm is validated numerically by comparing its results with the solution of a corresponding direct problem. The temperature and thermal stresses in the tribo-couple are analyzed.

Identification of force loadings on the inner circumference of a finite‐length elastic cylinder

“…However, the sufficiency of the information about the situation on the surface of analyzed structural elements can be limited due to various constrains, for example, inaccessibility of some areas for the direct measurements of active impacts, the inapplicability of nondestructive testing, lack of information about the surface material properties, and so forth. [3,4]. In this case, the lack of actual knowledge about the loading on the "forbidden" areas of the surface is to be compensated with the auxiliary information about some parameters of the studied (or a coupled) process on the accessible areas [5].…”